13. (Refer to Figure 34.) What is the maximum amount of fuel that may be aboard the airplane on takeoff if loaded as follows?

WEIGHT (LB) MOM/1000
Empty weight: 1,350 lb 51.5.
Pilot and front passenger: 340 lb. --
Rear passengers: 310 lb. --
Baggage: 45 lb.

— Empty weight: 1,350 lbs, MOM/1000: 51.5 (Moment: 69,525 lb-in)
- Pilot and front passenger: 340 lbs (Moment: 340 * 85 = 28,900 lb-in)
- Rear passengers: 310 lbs (Moment: 310 * 121 = 37,510 lb-in)
- Baggage: 45 lbs (Moment: 45 * 140 = 6,300 lb-in)

Total Weight and Moment Without Fuel:
- Total Weight: 1,350 + 340 + 310 + 45 = 2,045 lbs
- Total Moment: 69,525 + 28,900 + 37,510 + 6,300 = 142,235 lb-in

Fuel Calculation:
We need to find how much fuel can be added while keeping the CG within limits.

For 24 gallons:
- Weight: 24 * 6 = 144 lbs
- Moment: 144 * 75 = 10,800 lb-in
- Total Weight: 2,045 + 144 = 2,189 lbs
- Total Moment: 142,235 + 10,800 = 153,035 lb-in
- CG: 153,035/2,189 ≈ 69,92 inches

For 32 gallons:
- Weight: 32 * 6 = 192 lbs
- Moment: 192 * 75 = 14,400 lb-in
- Total Weight: 2,045 + 192 = 2,237 lbs
- Total Moment: 142,235 + 14,400 = 156,635 lb-in
- CG: 156,635/2,237 ≈ 70,03 inches

For 40 gallons:
- Weight: 40 * 6 = 240 lbs
- Moment: 240 * 75 = 18,000 lb-in
- Total Weight: 2,045 + 240 = 2,285 lbs
- Total Moment: 142,235 + 18,000 = 160,235 lb-in
- CG: 160,235/2,285 ≈ 70,14 inches

Conclusion:
After verifying against the moment envelope in Figure 34, the aircraft can carry up to 40 gallons of fuel while remaining within the weight and balance limits.